Magnon Dispersion Analysis

Generated on: 2025-11-30 21:48:58

Waterfall Spectra with Magnon Markers

RIXS spectra are displayed as waterfall plots with fitted magnon peak positions marked by errorbars. Each spectrum is colored according to its position in the Brillouin zone using as the color value.

Data Filtering

Only data points with magnon energy uncertainty below 0.08 eV are shown.

Magnon Peak Position

The displayed magnon peak position is determined by finding the maximum of the DHO (Damped Harmonic Oscillator) broadened curve, which accounts for the instrumental resolution convolution.

Figures

RIXS spectra at L = 0.29 with magnon peak errorbars. Left: full energy range. Middle: elastic region with magnon markers. Right: measured points in H-K plane.

RIXS spectra at L = 0.32 (50 scans split into two panels) with magnon peak errorbars.

RIXS spectra at L = 0.38 with magnon peak errorbars.

RIXS spectra for remaining L values with magnon peak errorbars.

2D Scatter Plot in H-K Plane

The magnon dispersion is visualized as a scatter plot in the H-K momentum plane, with each point colored by its magnon energy .

Data Selection

  • Only fits with uncertainty eV are included
  • Magnon energy is computed as

Color Scale

Points are colored using a perceptually uniform colormap (tropical), where warmer colors indicate higher magnon energies.

Figures

Magnon energy scatter plot in H-K plane for L = 0.29, 0.32, and 0.38. Color indicates magnon energy.

1D Dispersion Along High-Symmetry Directions

The magnon dispersion is extracted along two high-symmetry directions in the Brillouin zone:

Direction 1: H + K = 0 (Diagonal)

Points satisfying are selected along the zone diagonal.

Direction 2: H - K = 0.5

Points satisfying are selected along this perpendicular cut.

Error Bars

Vertical error bars represent the uncertainty in the fitted magnon frequency .

Figures

1D magnon dispersion along high-symmetry directions. Top row: H + K = 0 diagonal. Bottom row: H - K = 0.5 direction. Columns show L = 0.29, 0.32, and 0.38.

3D Magnon Dispersion Surface

The magnon dispersion is visualized in 3D with: - X-Y plane: Momentum coordinates (H, K) in reciprocal lattice units - Z-axis: Magnon energy in eV

Visualization Features

  • Vertical stems: Lines from the H-K plane to the magnon energy height
  • Color coding: Points colored by magnon energy using the same colormap
  • High-symmetry lines:
  • Orange line: H + K ≈ 0 direction
  • Blue line: H - K = 0.5 direction

Data Filtering

Only fits with uncertainty eV are displayed.

Figures

3D magnon dispersion for L = 0.29.

3D magnon dispersion for L = 0.32.

3D magnon dispersion for L = 0.38.